Dose-response relationship
describes the change in effect on an
organism caused by differing levels of
exposure (or
doses) to a
stressor (usually a
chemical). This may apply to individuals (eg: a small amount has no observable effect, a large amount is fatal), or to
populations (eg: how many people are affected at different levels of exposure).
Studying dose response, and developing dose response models, is central to determining "safe" and "hazardous" levels and dosages for
drugs, potential pollutants, and other substances that
humans are exposed to. These conclusions are often the basis for public policy.
When the agent is
radiation instead of a drug, this is called the exposure-response relationship.
Dose-response curve
A dose-response curve is a simple
X-Y graph relating the magnitude of a stressor (e.g. concentration of a pollutant, amount of a drug, temperature, intensity of radiation) to the response of the receptor (e.g. organism under study). The response is usually death (mortality), but other effects (or endpoints) can be studied.
The measured
dose (usually in
milligrams,
micrograms, or
grams per kilogram of body-weight) is generally plotted on the X axis and the response is plotted on the Y axis. Commonly, it is the
logarithm of the dose that is plotted on the X axis, and in such cases the curve is typically
sigmoidal, with the steepest portion in the middle.
The first point along the graph where a response above zero is reached is usually referred to as a
threshold-dose. For most beneficial or recreational drugs, the desired effects are found at doses slightly greater than the threshold dose. At higher doses still, undesired side effects appear and grow stronger as the dose increases.
The stronger a particular substance is, the steeper this curve will be. In quantitative situations, the Y-axis usually is designated by percentages, which refer to the percentage of users registering a standard response (which is often death, when the 50% mark refers to
LD50). Such a curve is referred to as a quantal dose response curve, destinguishing it from a graded dose response curve, where response is continuous.
Problems exist regarding non-linear relationships between dose and response, thresholds reached and 'all-or-nothing' responses. These inconsistencies can challenge the validity of judging causality solely by the strength or presence of a dose-response relationship.
lethal dose (LD)
is an indication of the
lethality of a given substance or type of
radiation. Because resistance varies from one individual to another, the 'lethal dose' represents a dose (usually recorded as dose per kilogram of subject body weight) at which a given percentage of subjects will die.
The most commonly-used lethality indicator is the
LD50 (or LD50), a dose at which 50% of subjects will die. LD measurements are often used to describe the power of venoms in animals such as
snakes.
Animal-based LD measurements are a commonly-used technique in drug research, although many researchers are now shifting away from such methods.
LD figures depend not only on the species of animal, but also on the mode of administration. For instance, a
toxic substance inhaled or injected into the bloodstream may require a much smaller dosage than if the same substance is swallowed.
LD values for humans are generally estimated by extrapolating results from testing on animals or on human
cell cultures. One common form of extrapolation involves measuring LD on animals like mice or dogs, converting to dosage per kilogram of biomass, and extrapolating to human norms.
While animal-extrapolated LD values are correlated to lethality in humans, the degree of error is sometimes very large. The biology of test animals, while similar to that of humans in many respects, sometimes differs in important aspects.
For instance, mouse tissue is approximately fifty times less responsive than human tissue to the venom of the
Sydney funnelweb. The
square-cube law can also complicate the scaling relationships involved.
Acceptable Daily Intake
or -
ADI is a measure of the amount a specific substance (usually a
food additive, or a residue of a veterinary drug or pesticide) in
food or
drinking water that can be ingested (orally) over a lifetime without an appreciable health risk. ADIs are expressed by body mass, usually in milligrams (of the substance) per kilograms of body mass per day.
An ADI value is based on current research, with long-term studies on animals and observations of humans. First, a No Observable (Adverse) Effect Level, the amount of a substance that shows no toxic effects, is determined on the basis of studies intended to measure an effect at several doses.
Usually the studies are performed with several doses including high doses. In case there are several studies on different effects, it is usually taken the lowest NO(A)EL.
Then, the NOEL (or NOAEL) is scaled by a safety factor, conventionally 100, to account for the differences between test animals and humans (factor of 10) and possible differences in sensitivity between humans (another factor of 10). The ADI is usually given in mg per kg body weight per day. Note that the ADI is considered a safe intake level for the healthy adult of normal weight who consumes in average daily the amount of the substance in question.
The higher the ADI, the "safer" for regular ingestion is a compound.
The ADI concept can be understood as a measure to indicate the toxicity from long-term exposure to repeated ingestion of chemical compounds in foods (present and/or added), as opposed to acute toxicity.